Pith Number

pith:G7IKQR4E

pith:2026:G7IKQR4E3GXWE2GTJEISJPUQPY

not attested not anchored not stored refs pending

Data-driven discovery of governing differential equations across physical systems

Dongxiao Zhang, Hao Sun, Hao Xu, Linfeng Zhang, Lu Lu, Siyu Lou, Wenguan Wang, Yang Liu, Yuntian Chen

arxiv:2606.09638 v1 · 2026-06-08 · cs.LG · cs.SC · math-ph · math.MP · physics.comp-ph · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7IKQR4E3GXWE2GTJEISJPUQPY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-09T02:09:00.528414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d0a84784d9af6268d3491124be907e3d702a03cacbd079f7d90a2b35d9ffef

Aliases

arxiv: 2606.09638 · arxiv_version: 2606.09638v1 · doi: 10.48550/arxiv.2606.09638 · pith_short_12: G7IKQR4E3GXW · pith_short_16: G7IKQR4E3GXWE2GT · pith_short_8: G7IKQR4E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/G7IKQR4E3GXWE2GTJEISJPUQPY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 37d0a84784d9af6268d3491124be907e3d702a03cacbd079f7d90a2b35d9ffef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9055fcf9d18cf04ff88f41e7c95222fb2eb42595233991acdd0d8f400f95c18e",
    "cross_cats_sorted": [
      "cs.SC",
      "math-ph",
      "math.MP",
      "physics.comp-ph",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T15:35:06Z",
    "title_canon_sha256": "0fdd23006606be887074d487736033ea867765b0ca812a91937087d6f12d78b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09638",
    "kind": "arxiv",
    "version": 1
  }
}